Test 2 Review- Absolute Value Graphs and Inequalities

• Reflection over the x- axis, vertical shift up 2

• Horizontal shift right 3, Vertical shift up 2

• Reflection over the x axis, reflection over the y axis

• Reflection over the y - axis, horizontal shift right 3

Describe the transformation of the equation below from the parent function of y = I x I

y = -2 I x - 3 I + 3

• reflected across x-axis, vertical stretch by 2, right 3, up 3

• reflected across x-axis, vertical stretch by 2, left 3 up 3.

• reflected across x-axis, vertical compression by 2, right 3, up 3

• reflected across the x-axis, vertical compression by 2, left 3, up 3

Write an absolute value function given the following transformations:

Vertical Stretch by a factor of 2

Horizontal shift left 1 unit left

Vertical shift 9 units down

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9

• f(x) = 2|x - 1| - 9

What is the equation of the graph below?

• f(x ) = I x + 4 I + 2
• f(x ) = -I x - 4 I + 2
• f(x ) = I x - 4 I + 2
• f(x ) = -I x + 4 I + 2

• (6, 1)

• (3, -6)

• (0, 2)

• (-1, 5)

Solve:
3 | 2x + 7| - 7 < -4

• x < -3 and x > -5/3
• x < -3 and x > -4
• all real numbers
• no solution

• no solution
• all real numbers 
• -2 ≤ n ≤ 16
• n ≤ -2 or n ≥ 16

• Reflection over the x-axis and vertical shift up 1.

• Reflection over the y-axis and horizontal shift left 1

• Reflection over the x-axis and vertical shift up 1

• Reflection over the y-axis and vertical shift up 1.

• A and B only

• A, B, and C

• B and C only

• B only